IIT JEE past question AP GP 8

Sun of the first n terms of a the series

12+2.22+32+2.42+52+2.62.... is n(n+1)2/2 when n is even

what is the sum when n is odd?

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33
Abhishek Priyam ·

if n is odd...

then sum ti n+1 terms= (n+1)(n+2)2/2

sum to n(odd) terms=(n+1)(n+2)2/2-2(n+1)2

=n2(n+1)/2

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